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For his Master's Degree Grave studied Jacobi's methods for the three body problem, a topic suggested by Korkin. His doctorate was on map projections, again a topic proposed by Korkin, the degree being awarded in 1896. The work, on equal area plane projections of the sphere, built on ideas of Euler, Lagrange and Chebyshev.
Grave became professor at Kharkov in 1899 and, from 1902, he was professor at Kiev, remaining there for the rest of his life. At Kiev Grave studied algebra and number theory, creating an important school there. Among his pupils were O J Schmidt, N G Chebotaryov, B N Delone and A M Ostrovsky.
Grave had a short period when be became interested in mechanics and applied mathematics, but he returned to algebra.
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